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A parallel bean of monochromatic light i...

A parallel bean of monochromatic light is allowed to incident normally on a plane transmission grating having `5000` lines per centimeter. A second order spectral line is found to be diffracted at an angle `30^(@)`. Find the wavelength of the light.
Data : `N=5000` lines/cm `=5000xx10^(2)` lines/m, `m=2`, `theta=30^(@)`, `lambda=?`

Text Solution

Verified by Experts

`sintheta=Nmlambda`
`lambda=(sintheta)/(Nm)`
`lambda=(sin30^(@))/(5xx10^(5)xx2)=(0.5)/(5xx10^(5)xx2)`
`lambda=5xx10^(-7)m=5000Å`.
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